“…Among the majority of the known pyrochlore oxides under investigation, the III-IV pyrochlores are the ones in which the A 3+ (larger) and B 4+ (smaller) ions occupy the 16d (1/2, 1/2, 1/2) and 16c (0, 0, 0) positions, respectively. The two crystallographically distinct oxide ions, O (1) and O (2), are present at the 48f (x, 1/8, 1/8) and 8b (3/8, 3/8, 3/8) positions, respectively. The third oxygen position, O(3), which is vacant in this structure, would be required to complete the anion arrangement in a fluorite lattice.…”